How do you solve this system of equations: #2x + 3y = 8 and 3x + 1y = 5#?

1 Answer
Nallasivam V
Dec 16, 2017

#x=1#
#y=2#

Explanation:

Given -

#2x+3y=8# -----------------(1)
#3x+1y=5# -----------------(2)

#3x+1y=5# -----------------(2) #xx3#
#9x+3y=15# ------------------(3)

#2x+3y=8# -----------------(1)
#9x+3y=15# ---------------(3) ---#(1) - (3)#

#-7x=-7#
#x=(-7)/(-7)=1#

Substitute #x=1# in equation (2)

#3(1)+y=5#
#3+y=5#
#y=5-3=2#

#x=1#
#y=2#

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